How do you rewrite the exponential expression as a radical expression #b^(- 4/7)#?

1 Answer
Apr 30, 2016

There are two laws of indices involved. A negative index indicates a fraction (the reciprocal with a positive index) and a fractional index means there is a power and a root.


Let's deal with the negative in the index first. This simply means that the base is in the denominator and the index is positive:

#b^(-6/7) = 1/b^(6/7)#

The numerator of a fractional index is a power,
the denominator of a fractional index is a root.

This gives us #1/(7sqrtb^6)#